我们可以用，矩阵乘法或矩阵乘积的形式来表述这些式子。
And we can reformulate this in terms of matrix multiplication or matrix product.
我们将对矩阵乘法的标准技术稍微进行一下修改，这样就可以使用前面介绍的算法了。
We'll make a slight change to the standard technique for multiplying matrices so that the previous algorithm can be applied here.
假设有一个4x4的矩阵，我们希望将其与另外一个4x1的向量进行乘法操作。
Let's say we have a 4x4 matrix that we want to multiply with a vector (a 4x1 matrix).
我们学过矩阵乘法的，以及用矩阵表示线性方程。
OK, so we've seen how to multiply matrices, and how to write linear systems in matrix form.
矩阵乘法是有结合律的。
Scilab提供了简单的矩阵运算（比如乘法），也提供了高级运算库（比如复数多维算法和相关）。
Scilab provides simple matrix operations like multiplication, plus a library of high-level operations like complex multi-dimensional arithmetic and correlation.
使用MPI进行并行编程来实现矩阵与向量的乘法。
Parallel programming using MPI to multiply a matrix by a vector.
在大型线性回归分析中，由于设计矩阵的病态使得经典的最小二乘法失去了优良性。
The superiority of the classical least square method is lost due to the morbid of designed matrix in large-type linear regression analysis.
如何使用线程池和多线程矩阵乘法的消息队列？
How to use thread pool and message queues in Multithreaded Matrix Multiplication?
它是基于数值积分和矩阵最小二乘法的数值方法。
It is based on the numerical integration and matrix least square method.
本论文主要介绍了矩阵乘法运算的延伸及矩阵在图形变换中的应用；
This paper mainly introduces the tendency of multiply operation of matrix and its application in graph transformation.
迭代法中的雅克比迭代法是一种比较常用的方法，它公式简单，每迭代一次只需计算一次矩阵和向量乘法。
Yacobi method belongs to iteration methods, and is widely used. It has simple formula, which needs only time multiplication of matrix and rector for one iteration.
利用矩阵的最重要的好处是任何数量的颜色转换，可以使用标准的组成矩阵乘法。
The most important advantage of using matrices is that any number of color transformations can be composed using standard matrix multiplication.
在研究整体最小二乘法的基础上，分析摄像机成像误差的统计特征，明确误差对基础矩阵估计算法的影响。
This paper analyzes the statistical characteristics of camera imaging error based on studying total least squares, and clarifies the error effect on estimating fundamental matrix.
在给定分段节点横坐标的条件下，通过确定系数矩阵和反求曲线顶点，基于最小二乘法推导出最优节点的纵坐标公式。
The optimum knots ordinate formula in the least square sense is derived by computing coefficient matrix and curve vertexes under the specified subsection knots abscissas conditions.
为了便于计算机处理，将有向图用矩阵表示，通过有向图矩阵的乘法运算搜索最长的有向路径。
For computer processing of the directed digraph, it is expressed by a matrix, and then the longest directed paths can be obtained through matrices multiplication.
采用系统辨识的最小二乘法的改进算法，确定了一种用模糊关系矩阵表示电力变压器故障诊断模型。
According to the modified least square algorithm of system identification technique, a diagnostic model of power transformer fault is determined and described by fuzzy relation matrix.
我们提出了“指标分布图”的新概念，从而构造出一个估计任意维数矩阵乘法的新算法。
We propose a new conception: Index Distribution Chart, which makes it possible for us to construct a new fast multiplication algorithm for matrix pairs of arbitrary dimensions.
设计了一种新的分组密码算法，该算法利用矩阵乘法的扩散作用与专门设计的一种矩阵运算的混乱作用实现对信息的加密。
A new block cipher is designed where the diffusion of matrix multiplication is combined with the confusion of specially designed matrix operation to encrypt information.
用变量的线性替换解释矩阵乘法，由此可以简洁而且直观地导出初等矩阵和分块矩阵的乘法原理。
From this point of view, we can concisely and intuitively introduce the multiplication principles of elementary matrix and block matrix.
本文提出一种微分运算矩阵法，通过切比雪夫级数和最小二乘法辨识线性分布参数系统的参数。
In this paper, a method of operational matrix of differentiation is introduced in the identification of coefficients of linear distributed system by using Chebyshev series and least squares.
辛矩阵只能在乘法群下保辛，故传递辛矩阵的保辛摄动必须采用正则变换的乘法。
The symplectic conservative perturbation for a transfer symplectic matrix should be based on the canonical transformation method.
将所有点对坐标值代入刚体变换线性方程组，用最小二乘法求出从图像空间到手术空间的刚体变换矩阵，最终实现医学图像标志点的自动识别和配准。
Substituting coordinates of all pairs of points into rigid transform equations, one could use least squares to get the rigid transform matrix from image space to surgical space.
文中首先总结按行划分和按列划分的并行矩阵向量乘法在原理上的异同。
First summarizes the differences on principle between two kinds of parallel algorithm of matrix-vector multiplication, namely, divided by row and divided by column.
下列矩阵乘法将会依照列出来的顺序执行成对的转换。
The following matrix multiplication will perform the pair of transformations in the order listed.
本文用偏最小二乘法（PLS）方法来解析荧光的激发发射矩阵（EEM），直接定量分析荧光混合物试样。
An excitation-emission matrix(EEM) and partial least squares method (PLS) were used to quantitatively determine fluorescent mixed samples.
对应于矩阵反演公式及QR分解定理，加权最小二乘法(WRL S)存在两类不同的算法结构。
There are two kinds of algorithmic structures for the method of weighted recursive least squares (WRLS) corresponding to the matrix reversing (MR) formula or the QR decomposing theorem.
虽然我可以做矩阵乘法并行，我必须要小心，我怎么打破这个问题，我不能利用一切可能的并行，因为我通常的工具工作。
Though I can do matrix multiplication in parallel, I have to be careful about how I break up the problem and I can't exploit all the parallelism possible because of the tools I normally work with.
虽然我可以做矩阵乘法并行，我必须要小心，我怎么打破这个问题，我不能利用一切可能的并行，因为我通常的工具工作。
Though I can do matrix multiplication in parallel, I have to be careful about how I break up the problem and I can't exploit all the parallelism possible because of the tools I normally work with.
应用推荐